q-nonlinear cavity field states generated by the excitations on aq-coherent state
Lian-Fu Wei, Xi Ding-ping · Chinese Physics · 2000
It is shown that photon-excitation state defined by |α, k ⟩ q = â q † k |α⟩ q ( k =1,2,3...) up to a normalization constant can be produced in nonlinear processes in q -nonlinear cavities. The mathematical and quantum statistical properties of this state are studied in detail. We show that this state, along with the number states absented in it, forms a complete set. We also show by numerical method that this state exhibits quantum-squeezing for some values of |α| and always reveals quantum-antibunching effect.